103990920 has 64 divisors (see below), whose sum is σ = 340338240. Its totient is φ = 25209600.

The previous prime is 103990919. The next prime is 103990927. The reversal of 103990920 is 29099301.

It is a super-2 number, since 2×103990920² = 21628222884892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (103990927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38071 + ... + 40710.

It is an arithmetic number, because the mean of its divisors is an integer number (5317785).

Almost surely, 2^103990920 is an apocalyptic number.

103990920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103990920 is an abundant number, since it is smaller than the sum of its proper divisors (236347320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103990920 is a wasteful number, since it uses less digits than its factorization.

103990920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78806 (or 78802 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 103990920 is about 10197.5938338414. The cubic root of 103990920 is about 470.2532511721.

The spelling of 103990920 in words is "one hundred three million, nine hundred ninety thousand, nine hundred twenty".